Question

what is the midpoint of the segment that joins the points (-11, -9) and (12, 18)?

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-11,y_1 = - 9,x_2 = 12,y_2=18$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{-11 + 12}{2}=\frac{1}{2}=0.5$

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{-9+18}{2}=\frac{9}{2}=4.5$

Answer:

$(0.5,4.5)$